Home / 2,114.29-3,172.65-815.86

Finding the Fourth Proportional to 2,114.29, 3,172.65 and 815.86

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Solution

The fourth proportional to 2,114.29, 3,172.65 and 815.86 is: 1,224.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.29 : 3,172.65 = 815.86 : x
  2. Step 2: Convert to fraction form
    2,114.29/3,172.65 = 815.86/x
  3. Step 3: Cross multiply
    2,114.29x = 3,172.65 × 815.86
  4. Step 4: Simplify right side
    2,114.29x = 2,588,438.23
  5. Step 5: Solve for x
    x = 2,588,438.23/2,114.29
  6. Step 6: Final answer
    x = 1,224.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.